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Simplifying (7 + 4x)(2 + -9x) = 0 Multiply (7 + 4x) * (2 + -9x) (7(2 + -9x) + 4x * (2 + -9x)) = 0 ((2 * 7 + -9x * 7) + 4x * (2 + -9x)) = 0 ((14 + -63x) + 4x * (2 + -9x)) = 0 (14 + -63x + (2 * 4x + -9x * 4x)) = 0 (14 + -63x + (8x + -36x2)) = 0 Combine like terms: -63x + 8x = -55x (14 + -55x + -36x2) = 0 Solving 14 + -55x + -36x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -9x)(7 + 4x) = 0Subproblem 1
Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Solution
x = {0.2222222222, -1.75}
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